2648797200 has 720 divisors, whose sum is σ = 11585508480. Its totient is φ = 567336960.

The previous prime is 2648797147. The next prime is 2648797267. The reversal of 2648797200 is 27978462.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2648797200² = 14032253213455680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11566686 + ... + 11566914.

It is an arithmetic number, because the mean of its divisors is an integer number (16090984).

Almost surely, 2^2648797200 is an apocalyptic number.

2648797200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5792754240).

2648797200 is an abundant number, since it is smaller than the sum of its proper divisors (8936711280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2648797200 is a wasteful number, since it uses less digits than its factorization.

2648797200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2648797200 is about 51466.4667526342. The cubic root of 2648797200 is about 1383.6181049512.

The spelling of 2648797200 in words is "two billion, six hundred forty-eight million, seven hundred ninety-seven thousand, two hundred".